77452144476100 has 27 divisors (see below), whose sum is σ = 168071344488327. Its totient is φ = 30980822587680.

The previous prime is 77452144476043. The next prime is 77452144476101. The reversal of 77452144476100 is 167444125477.

The square root of 77452144476100 is 8800690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25528706128836 + 51923438347264 = 5052594^2 + 7205792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77452144476101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87566866 + ... + 88446934.

Almost surely, 2^{77452144476100} is an apocalyptic number.

77452144476100 is the 8800690-th square number.

It is an amenable number.

77452144476100 is an abundant number, since it is smaller than the sum of its proper divisors (90619200012227).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77452144476100 is an frugal number, since it uses more digits than its factorization.

77452144476100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760152 (or 880076 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 52.

The spelling of 77452144476100 in words is "seventy-seven trillion, four hundred fifty-two billion, one hundred forty-four million, four hundred seventy-six thousand, one hundred".